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Nikitich [7]
3 years ago
8

Find the volume of the figure the diameter of the base is 4 cm

Mathematics
2 answers:
Ket [755]3 years ago
3 0
31.42 would be your answer
fiasKO [112]3 years ago
3 0
B is wrong it was a
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Complete the identity.<br> 1) sec^4 x + sec^2 x tan^2 x - 2 tan^4 x = ?
Alecsey [184]

Answer:

See Explanation

Step-by-step explanation:

<em>Question like this are better answered if there are list of options; However, I'll simplify as far as the expression can be simplified</em>

Given

sec^4 x + sec^2 x tan^2 x - 2 tan^4 x

Required

Simplify

(sec^2 x)^2 + sec^2 x tan^2 x - 2 (tan^2 x)^2

Represent sec^2x with a

Represent tan^2x with b

The expression becomes

a^2 + ab- 2 b^2

Factorize

a^2 + 2ab -ab- 2 b^2

a(a + 2b) -b(a+ 2 b)

(a -b) (a+ 2 b)

Recall that

a = sec^2x

b = tan^2x

The expression (a -b) (a+ 2 b) becomes

(sec^2x -tan^2x) (sec^2x+ 2 tan^2x)

..............................................................................................................................

In trigonometry

sec^2x =1  +tan^2x

Subtract tan^2x from both sides

sec^2x - tan^2x =1  +tan^2x - tan^2x

sec^2x - tan^2x =1

..............................................................................................................................

Substitute 1 for sec^2x - tan^2x in (sec^2x -tan^2x) (sec^2x+ 2 tan^2x)

(1) (sec^2x+ 2 tan^2x)

Open Bracket

sec^2x+ 2 tan^2x ------------------This is an equivalence

(secx)^2+ 2 (tanx)^2

Solving further;

................................................................................................................................

In trigonometry

secx = \frac{1}{cosx}

tanx = \frac{sinx}{cosx}

Substitute the expressions for secx and tanx

................................................................................................................................

(secx)^2+ 2 (tanx)^2 becomes

(\frac{1}{cosx})^2+ 2 (\frac{sinx}{cosx})^2

Open bracket

\frac{1}{cos^2x}+ 2 (\frac{sin^2x}{cos^2x})

\frac{1}{cos^2x}+ \frac{2sin^2x}{cos^2x}

Add Fraction

\frac{1 + 2sin^2x}{cos^2x} ------------------------ This is another equivalence

................................................................................................................................

In trigonometry

sin^2x + cos^2x= 1

Make sin^2x the subject of formula

sin^2x= 1  - cos^2x

................................................................................................................................

Substitute the expressions for 1  - cos^2x for sin^2x

\frac{1 + 2(1  - cos^2x)}{cos^2x}

Open bracket

\frac{1 + 2  - 2cos^2x}{cos^2x}

\frac{3  - 2cos^2x}{cos^2x} ---------------------- This is another equivalence

8 0
3 years ago
PLEASE NO SPAM!!!! I NEED HELP!!!! PLEASE!
ratelena [41]
Using finite difference, the answer is cubic. Apologies if I’m wrong

5 0
2 years ago
Read 2 more answers
what is the value of the expression -2 (3x minus 2) + x + 9 when x equals negative 3 choices are a -16 B -2 C 28 D 34 which one
Nezavi [6.7K]

Answer:

  C  28

Step-by-step explanation:

Put the given value where x is in the expression and do the arithmetic.

  -2(3(-3) -2) +(-3) +9

  = -2(-9 -2) -3 +9

  = -2(-11) -3 +9

  = 22 -3 +9

  = 19 +9

  = 28

6 0
2 years ago
6) The length of a rectangle is 2 inches more than twice its width. Write an
34kurt

Answer:

2w + 2

Step-by-step explanation:

Width = w

Twice its width  = 2*w =2w

2 inches more than twice its width = 2w + 2

Length = 2w + 2

5 0
3 years ago
Calculate the effective annual interest rate if the annual interest rate, i, is 9%.
jeyben [28]
B. ) Unless you're missing some data.
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3 years ago
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